Activity
Texas Instruments

Texas Instruments: Integral Calculus

For Teachers 9th - 10th
In this activity, students use various features of the calculator to investigate some of the fundamental concepts of integral calculus. They study Riemann Sums and explore limitations of numerical integration.
Activity
Texas Instruments

Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus

For Teachers 9th - 10th
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Unit Plan
Khan Academy

Khan Academy: Worked Example: Problem Involving Definite Integral (Algebraic)

For Students 9th - 10th
Using definite integral to solve a word problem about the growth in the population of a town.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Fundamental Theorem of Calculus 12

For Students 9th - 10th
This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.
Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
Activity
Texas Instruments

Texas Instruments: Integral Test

For Teachers 9th - 10th
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Activity
Interactive Mathematics

Interactive Mathematics: Even Crash Test Dummies Use Calculus

For Students 9th - 10th
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Integral Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Activity
Interactive Mathematics

Interactive Mathematics: Applications of Volumes by Integration

For Students 9th - 10th Standards
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Substitution in the Indefinite Integral

For Students 9th - 10th
Students learn how to integrate using the technique of substitution. The tutorial explores the calculus concept through notes and examples. Review exercises, a chapter summary, and chapter quiz are included.
Activity
Interactive Mathematics

Interactive Mathematics: Applications of Indefinite Integrals

For Students 9th - 10th
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
Lesson Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc

For Teachers 9th - 10th
Learners learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
Activity
Duke University

Calculating the Volume of a Vase

For Students 9th - 10th
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
Unknown Type
Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Reduction Formulas

For Students 9th - 10th
This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.
Article
Other

Jiskha Homework Help: Math Calculus

For Students 9th - 10th
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
Activity
Texas Instruments

Texas Instruments: Getting Started With the Calculus Tools App

For Teachers 9th - 10th
This user-friendly application extends the build-in power of your TI-89 and TI-92 Plus by providing more specialized functionality. Use Calculus to investigate applications of differentiation, compare numerical integration techniques and...
Activity
Other

Calculus Preview

For Students 9th - 10th Standards
The resource gives students a preview of topics learned in Calculus. Concepts included are graphs, speed, and integration. Graphs, tables, and an interactive applet are used to investigate the examples.
Unknown Type
Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Texas Instruments

Texas Instruments: Ti 89 Riemann Sum Activities for Calculus

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!